Blow up of nonautonomous fractional reaction-diffusion systems
نویسندگان
چکیده
منابع مشابه
Classification of blow-up with nonlinear diffusion and localized reaction
We study the behaviour of nonnegative solutions of the reaction-diffusion equation ut = (u)xx + a(x)up in R× (0, T ), u(x, 0) = u0(x) in R. The model contains a porous medium diffusion term with exponent m > 1, and a localized reaction a(x)up where p > 0 and a(x) ≥ 0 is a compactly supported function. We investigate the existence and behaviour of the solutions of this problem in dependenc...
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After a brief discussion of known global well-posedness results for semilinear systems, we introduce a class of quasilinear systems and obtain spatially local estimates which allow us to prove that if one component of the system blows up in finite time at a point x∗ in space then at least one other component must also blow up at the same point. For a broad class of systems modelling one-step re...
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In this paper, firstly we introduce the concept of norm-to-weak continuous cocycle in Banach space and give a technical method to verify this kind of continuity, then we obtain some abstract results for the existence of pullback attractors about this kind of cocycle, using the measure of noncompactness. As an application, we prove the existence of pullback attractors in H 1 0 of the cocycle ass...
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ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2020
ISSN: 1847-9677
DOI: 10.7153/fdc-2020-10-01